Least Common Multiple of 73/237, 408/866, 914/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/237, 408/866, 914/229 quickly i.e. 13611288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/237, 408/866, 914/229 is 13611288.

LCM(73/237, 408/866, 914/229) = 13611288

LCM of 73/237, 408/866, 914/229

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 73/237,408/866,914/229

Given numbers are 73/237,408/866,914/229

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 73,408,914

Least Common Multiple of Numerators i.e. LCM of 73,408,914 is 13611288.

GCF of Denominators means GCF of 237,866,229 as per the given fractions.

GCF of 237,866,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,408,914

LCM of Fractions 73/237,408/866,914/229 is 13611288

2 73, 408, 914
73, 204, 457

∴ So the LCM of the given numbers is 2 x 73 x 204 x 457 = 13611288

Least Common Multiple of 73,408,914 with GCF Formula

Least Common Multiple of 73,408,914 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 73,408,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,408,914) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,408,914) x common factors =1 x 2 = 2

LCM(73,408,914) = ( 73 × 408 × 914 ) / 2

LCM(73,408,914) = 27222576 / 2

LCM(73,408,914) = 13611288


Lets's calculate GCF of 237,866,229

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13611288/1

Therefore the LCM of Fractions 73/237,408/866,914/229 is 13611288

Greatest Common Factor of 237,866,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,866,229 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 237,866,229 . The biggest common factor number is the GCF number.
So the greatest common factor 237,866,229 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 73/237, 408/866, 914/229

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 73/237, 408/866, 914/229?

Answer: LCM of Numerators as per given numbers 73/237, 408/866, 914/229 is

LCM of Numerators i.e. for 73,408,914 is 13611288

GCF of denominators i.e. for 237,866,229 is 1.

Thus, LCM of Fractions is 13611288.Finally, LCM of Fractions for 73/237, 408/866, 914/229 is 13611288.